Skip to main content
SpringerLink
Log in

Conformal analogs of the Jordan-Brans-Dicke theory. I.

  • Published:
Astrophysics Aims and scope

Recent cosmological observations of large-scale structures (red shift of type Ia supernovae) confirm that the universe is currently expanding at an accelerating rate and its dominant component is dark energy. This has stimulated the development of the theory of gravity and led to many alternative variants, including tensor-scalar ones. This paper deals with the role of conformal transformations in the Jordan-Brans-Dicke theory. Variants of intrinsic, conformally coupled, and Einstein representations are examined. In the Einstein representation an exact analytic solution for the standard cosmological model is obtained. It is expressed in terms of the relative energy contributions of ordinary matter Ω m , the scalar field Ω CK , and a term ΩΛ related to the cosmological constant Λ . Information on the evolution of the universe for the case with a minimally coupled scalar field is given in the form of graphs.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. H. Weyl, Raum, Zeit, Materie, Berlin (1923).

  2. W. Pauli, Theory of Relativity [Russian translation] (1983).

  3. A. Z. Petrov, New Methods in the General Theory of Relativity [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  4. R. Dicke, Phys. Rev. 125, 2163 (1962).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  5. P. Jordan, Schwerkraft und Weltall, Braunschweig (1955).

  6. V. V. Papoyan, A Survey of the JBD Theory of Gravity, ÉChAYa 34, 190 (2003).

    Google Scholar 

  7. G. Harutunyan and V. Papoyan, Ap. Space Sci. 117, 189 (1985).

    Article  ADS  Google Scholar 

  8. C. Reina and A. Treves, Gen. Rel. Grav. 7, 817 (1976).

    Article  MathSciNet  ADS  Google Scholar 

  9. G. H. Harutunyan and V. V. Papoyan, Astrofizika 25, 217 (1986).

    ADS  Google Scholar 

  10. G. H. Harutunyan and V. V. Papoyan, Astrofizika 30, 409 (1989).

    ADS  Google Scholar 

  11. D. Kramer, H. Stefani, M. Maccalum, et. al., Exact Solutions of the Einsteins equations, Berlin (1980).

  12. J. D. Bekenstein, Ann. Phys. 82, 535 (1974).

    Article  MathSciNet  ADS  Google Scholar 

  13. K. P. Stanyukovich and V. N. Mel’nikov, Field Hydrodynamics and Constants in the Theory of Gravitation [in Russian], Énergoatomizdat, Moscow (1983).

    Google Scholar 

  14. R. M. Avagyan and G. H. Harutunyan, Astrofizika 51, 151 (2008).

    Google Scholar 

  15. R. M. Avagyan and G. H. Harutunyan, Astrofizika 48, 633 (2005).

    Google Scholar 

  16. R. M. Avagyan and G. H. Harutunyan, Astrofizika 48, 455 (2005).

    Google Scholar 

  17. G. Harutunyan and V. Papoyan, Physics of particles and nuclei 33, 559 (2002).

    Google Scholar 

  18. S. Weinberg, Gravitation and Cosmology, New York (1972).

  19. G. Bennet et. al., arxiv: astro-ph/0302207, v. 2 (2003).

  20. E. T. Copeland, M. Sami, and S. Tsujikawa, Dynamics of dark energy, Int. J. Mod. Phys. D15, 1753–1936 (2006).

    MathSciNet  ADS  Google Scholar 

  21. V. John Moncy, Cosmographic evoluation of the deceleration parameter using type Ia Supernovae data, Astrophys. J. 614, 1–5 (2004).

    Article  ADS  Google Scholar 

  22. N. Brown, High redshift Supernovae: Cosmological implications. Nuovo Cim. B120, 667–676 (2005).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Academician G. S. Saakyan Department of Theoretical Physics, Erevan State University, Erevan, Armenia

    R. M. Avagyan, G. H. Harutunyan & A. V. Hovsepyan

Authors
  1. R. M. Avagyan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. H. Harutunyan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. V. Hovsepyan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to R. M. Avagyan.

Additional information

Translated from Astrofizika, Vol. 53, No. 2, pp. 317–332 (May 2010).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Avagyan, R.M., Harutunyan, G.H. & Hovsepyan, A.V. Conformal analogs of the Jordan-Brans-Dicke theory. I.. Astrophysics 53, 284–301 (2010). https://doi.org/10.1007/s10511-010-9118-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10511-010-9118-9

Keywords

Search

Navigation